Requesting relationships to know for success in Physics

  • Context: High School 
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Discussion Overview

The discussion revolves around the mathematical and physical concepts necessary for success in physics, particularly for students in grade 12 and those pursuing a college degree. Participants explore which mathematical skills and physical principles are essential for understanding and applying physics effectively.

Discussion Character

  • Homework-related
  • Conceptual clarification
  • Technical explanation

Main Points Raised

  • Some participants suggest that understanding trigonometry, including the cosine and sine laws, is crucial for physics.
  • Others emphasize the importance of grasping basic mathematical concepts such as finding the slope of a graph, secant and tangent lines.
  • A participant mentions that for a college degree, knowledge of algebra (including exponential and logarithmic functions), geometry, trigonometry, linear algebra, and calculus (up to second-year level) is necessary.
  • One participant highlights the importance of understanding the underlying concepts in physics, using an example related to the behavior of ice in water to illustrate the complexity of real-world applications.

Areas of Agreement / Disagreement

Participants express varying opinions on the specific mathematical skills required, with some focusing on foundational concepts for high school and others advocating for a broader range of mathematical knowledge for college-level physics. No consensus is reached on a definitive list of necessary skills.

Contextual Notes

Some contributions depend on the educational level (grade 12 vs. college), and there is a lack of clarity regarding the depth of understanding required for each mathematical concept. The discussion does not resolve the varying perspectives on the importance of different mathematical tools in physics.

Who May Find This Useful

Students preparing for high school or college physics courses, educators seeking to understand student needs, and individuals interested in the relationship between mathematics and physics.

P91
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From mathematical concepts (eg trig) to the basic physical ones. Which should I know and understand?
 
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P91 said:
From mathematical concepts (eg trig) to the basic physical ones. Which should I know and understand?

For grade 12?

Just know how to find a slop of a graph, secant and tangent lines.

Trig will help you a lot. Be sure to know the cos= adj/hyp etc. cosine law and sine law.

Pretty much it. The rest is addition and subtraction and theory.
 
brno17 said:
For grade 12?

Just know how to find a slop of a graph, secant and tangent lines.

Trig will help you a lot. Be sure to know the cos= adj/hyp etc. cosine law and sine law.

Pretty much it. The rest is addition and subtraction and theory.

For degree level.
 
Most important, you should understand each concept that is presented in Physics. Math is a tool used to teach the Sciences. But some professors will test you on your ability to understand what you have learned. For example: One of my Professors posed the following problem.

"We know that an ice bath (mixture of ice and water) stays at 32 degrees until either all the ice melts or all the water freezes. If a pond has a two inch sheet on ice on it's surface, what is the temperature below the ice?"

The important point to remember is that the ice bath theory holds true if the container holds pure water and pure ice. The pond does not hold pure water nor pure ice!
 
P91 said:
From mathematical concepts (eg trig) to the basic physical ones. Which should I know and understand?
For a college degree (bachelor's), I'd say you'll need to know:
Algebra, including exponential and logarithmic functions
Geometry
Trigonometry
Linear algebra
Calculus: Differential, Integral, Multivariable, Differential Equations
In brief, you should know up through 2nd year calculus.
 

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